Probability Events and Calculations

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Questions and Answers

What defines a simple event in probability?

An event that can result in multiple outcomes at once.
An event that includes outcomes from more than one trial.
An event that has only one possible outcome. (correct)
An event that involves no randomness.

Which of the following statements about the probability of an event is true?

Probability can be any negative number.
Probability is always between 0 and 1, inclusive. (correct)
Probability must be greater than 1.
Probability values are always zero.

If a roulette wheel has 18 red numbers, 18 black numbers, and 2 green numbers, what is the probability that the ball will land on a black number?

$\frac{1}{2}$
$\frac{18}{38}$ (correct)
$\frac{20}{38}$
$\frac{18}{20}$

Which of the following is an example of a compound event?

Flipping three coins and getting one heads and two tails. (C) Signup and view all the answers

What is the outcome when randomly selecting a letter from the English alphabet?

The outcome can be any of the 26 letters. (C) Signup and view all the answers

In probability, what does a probability value of 0 indicate?

The event is impossible. (D) Signup and view all the answers

When calculating the probability of an event with equally likely outcomes, what is the formula used?

Total favorable outcomes divided by the total number of outcomes. (C) Signup and view all the answers

What type of event is described as the complement of another event?

An event that consists of all outcomes not associated with the original event. (B) Signup and view all the answers

What is the probability of randomly selecting an ace from a standard deck of cards?

$\frac{1}{52}$ (D) Signup and view all the answers

If Kelsey has 12 shirts, what is the probability she chooses a specific shirt?

$\frac{1}{12}$ (C) Signup and view all the answers

What is the probability of choosing a vowel when randomly picking a letter from the English alphabet?

$\frac{5}{26}$ (C) Signup and view all the answers

If two dice are rolled, what is the probability that the first die shows a 1 and the second die shows a 4, 5, or 6?

$\frac{1}{36}$ (D) Signup and view all the answers

What is the relationship between complementary events in terms of probability?

The sum of their probabilities is exactly 1. (A) Signup and view all the answers

In a bag with 5 blue marbles and 2 red marbles, what is the probability of choosing two blue marbles in succession without replacement?

$\frac{5}{14} \times \frac{4}{13}$ (C) Signup and view all the answers

Which of the following scenarios represents a compound event?

Choosing a shirt and then selecting a pair of pants. (D) Signup and view all the answers

Flashcards

Trial

A single instance of a repeatable experiment, like flipping a coin or rolling a die.

Outcome

The result of a single trial, e.g., getting heads on a coin flip or rolling a 5 on a dice.

Event

A collection of one or more outcomes from a trial. For example, getting two heads in a row when flipping two coins is an event.

Simple Event

A simple event is an event that has one outcome, though typically more than one possible outcome. For example, choosing a specific card from a deck is a simple event.